**Title:** Function Machine

**Description:**
During this lesson, eighth grade students will interpret the perimeter of a train of triangles, squares, trapezoids, or hexagons as a function (for each input, there will be exactly one output). Students will represent their data in a table, as an equation, and graphically.
**Standard(s): **

[MA2015] (8) 12: Compare properties of two functions, each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). [8-F2]

**Subject:**Mathematics (8)

**Title:**Function Machine

**Description:**During this lesson, eighth grade students will interpret the perimeter of a train of triangles, squares, trapezoids, or hexagons as a function (for each input, there will be exactly one output). Students will represent their data in a table, as an equation, and graphically.

**Title:** Graph Chart

**Description:**
This reproducible transparency, from an Illuminations lesson, contains the answers to the similarly named student activity in which students identify the independent and dependent variables, the function, symbolic function rule and rationale for a set of graphs.
**Standard(s): **

[MA2015] ALT (9-12) 33: Write a function that describes a relationship between two quantities.* [F-BF1]

**Subject:**Mathematics

**Title:**Graph Chart

**Description:**This reproducible transparency, from an Illuminations lesson, contains the answers to the similarly named student activity in which students identify the independent and dependent variables, the function, symbolic function rule and rationale for a set of graphs.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Graphing What

**Description:**
This reproducible activity sheet, from an Illuminations lesson, is used by students to record independent and dependent variables as well as the function and symbolic function rule for a set of graphs.
**Standard(s): **

[MA2015] ALT (9-12) 33: Write a function that describes a relationship between two quantities.* [F-BF1]

**Subject:**Mathematics

**Title:**Graphing What

**Description:**This reproducible activity sheet, from an Illuminations lesson, is used by students to record independent and dependent variables as well as the function and symbolic function rule for a set of graphs.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Gallery Walk

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students view the work of other students in the class and explain their own work. Students move from graph to graph during this time and, without any talking, view the work of their classmates. While on their Gallery Walk, the students think about the data their classmates plotted and whether or not the information accompanying each graph seems appropriate. Each pair of students then stands next to their own work and explains one of the graphs.
**Standard(s): **

[MA2015] ALT (9-12) 33: Write a function that describes a relationship between two quantities.* [F-BF1]

**Subject:**Mathematics

**Title:**Gallery Walk

**Description:**In this lesson, one of a multi-part unit from Illuminations, students view the work of other students in the class and explain their own work. Students move from graph to graph during this time and, without any talking, view the work of their classmates. While on their Gallery Walk, the students think about the data their classmates plotted and whether or not the information accompanying each graph seems appropriate. Each pair of students then stands next to their own work and explains one of the graphs.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**Title:** Counting Embedded Figures

**Description:**
In this lesson, from Illuminations, students look for patterns within a given set of data. After looking at the pattern, students form generalizations for the problem and sharpen their algebraic skills.
**Standard(s): **

[MA2015] (8) 11: Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. (Function notation is not required in Grade 8.) [8-F1]

**Subject:**Mathematics

**Title:**Counting Embedded Figures

**Description:**In this lesson, from Illuminations, students look for patterns within a given set of data. After looking at the pattern, students form generalizations for the problem and sharpen their algebraic skills.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Supreme Court Welcome

**Description:**
In this unit of two lessons, from Illuminations, students experience triangular numbers in an interesting, real world context--the Supreme Court. Through the discovery of patterns, students are able to generate geometric and algebraic representations for the nth triangular number.
**Standard(s): **

[MA2015] (8) 11: Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. (Function notation is not required in Grade 8.) [8-F1]

**Subject:**Mathematics

**Title:**Supreme Court Welcome

**Description:**In this unit of two lessons, from Illuminations, students experience triangular numbers in an interesting, real world context--the Supreme Court. Through the discovery of patterns, students are able to generate geometric and algebraic representations for the nth triangular number.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** Beyond Handshakes

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students explore triangular numbers. This exploration enhances students ability to generalize a pattern with variables.
**Standard(s): **

[MA2015] (8) 14: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (*x,y*) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of linear function in terms of the situation it models and in terms of its graph or a table of values. [8-F4]

**Subject:**Mathematics

**Title:**Beyond Handshakes

**Description:**In this lesson, one of a multi-part unit from Illuminations, students explore triangular numbers. This exploration enhances students ability to generalize a pattern with variables.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8

**Title:** What's the Function?

**Digital Tool:**
Answer Garden, an online brain-storming tool **Web Address URL:**
http://answergarden.ch/ **Standard(s): **

[MA2015] (8) 14: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (*x,y*) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of linear function in terms of the situation it models and in terms of its graph or a table of values. [8-F4]**Digital Tool Description:** Answer Garden is an online brainstorming tool that easily exports into other digital tools (wordle or tagxedo). It will also create a QR code which will facilitate easy access in a BYOD or 1:1 environment.

**Title:**What's the Function?

**Digital Tool:**Answer Garden, an online brain-storming tool

**Digital Tool Description:**Answer Garden is an online brainstorming tool that easily exports into other digital tools (wordle or tagxedo). It will also create a QR code which will facilitate easy access in a BYOD or 1:1 environment.